202152 has 16 divisors (see below), whose sum is σ = 505440. Its totient is φ = 67376.

The previous prime is 202129. The next prime is 202183. The reversal of 202152 is 251202.

It is a super-2 number, since 2×202152² = 81730862208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

202152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4188 + ... + 4235.

It is an arithmetic number, because the mean of its divisors is an integer number (31590).

2²⁰²¹⁵² is an apocalyptic number.

It is an amenable number.

202152 is an abundant number, since it is smaller than the sum of its proper divisors (303288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202152 is a wasteful number, since it uses less digits than its factorization.

202152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8432 (or 8428 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 202152 is about 449.6131670670. The cubic root of 202152 is about 58.6893564668.

Adding to 202152 its reverse (251202), we get a palindrome (453354).

The spelling of 202152 in words is "two hundred two thousand, one hundred fifty-two".